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3 years ago

Diana usually drives at average rate of 30 mph.

Mathematics

2 answers:

Pepsi [2]3 years ago

6 0

Answer:

12/x hours

Step-by-step explanation:

d=12

s*t=d

t=d/s

t=12/s

Hope this helps pls if it help u mark me BRAINLIST pls thank u.

tangare [24]3 years ago

3 0

Answer:

Step-by-step explanation:

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Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a

Alina [70]

Given:

30-hour review course average a score of 620 on that exam.

70-hour review course average a score of 749.

To find:

The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.

Solution:

Let x be the number of hours of review course and y be the average score on that exam.

30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).

70-hour review course average a score of 749. So, the linear function passes through the point (70,749).

The linear function passes through the points (30,620) and (70,749). So, the linear equation is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-620=\dfrac{749-620}{70-30}(x-30)$

$y-620=\dfrac{129}{40}(x-30)$

$y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)$

$y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}$

Adding 620 on both sides, we get

$y=\dfrac{129}{40}x-\dfrac{387}{4}+620$

$y=\dfrac{129}{40}x+\dfrac{2480-387}{4}$

$y=\dfrac{129}{40}x+\dfrac{2093}{4}$

We need to find the y-value for $x=57$ .

$y=\dfrac{129}{40}(57)+\dfrac{2093}{4}$

$y=183.825+523.25$

$y=707.075$

$y\approx 707.1$

Therefore, the required linear equation for the given situation is $y=\dfrac{129}{40}x+\dfrac{2093}{4}$ and the average score for persons taking a 57-hour review course is 707.1.

4 0

3 years ago

What information must you know about a triangle in order to use the Pythagorean Theorem to find the length of a missing side?

Trava [24]

Answer: your obviously going to need to use the method a2+b2=c2

Try to calculate the radius if not given to you.

Step-by-step explanation:

6 0

2 years ago

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Last year a bamboo plant was 17 feet tall. It grew 10 feet this year. How tall is it now?

Alekssandra [29.7K]

It is 27 you add 10 and 27 which equals 27.

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3 years ago

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Enter the slope-intercept equation of the line shown below.

sweet [91]

Answer:

m=3

Step-by-step explanation:

Go up 3 and across one to find the slope from the points given.

3 0

3 years ago

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Consider the equation 8x - 2y= 24. Select True or False for each statement.

hjlf

8y - 2y = 24

The x intercept is when y = 0; if we use the equation when y = 0:

8x - 2(0) = 24 ==> 8x = 24 ==> x = 24/8 ==> x = 3

So the fist answer is TRUE

The y intercept is when x = 0; if we use the equation with x = 0:

8(0) - 2y = 24 ==> -2y = 24 ==> y = 24/(-2) ==> y = -12

So the second answer is FALSE

if we take the equation and solve it for y:

8x - 2y = 24 ==> 8x - 24 = 2y ==> (8x - 24)/2 = y ==> 4x - 12 = y ==> y = 4x -12

So the third answer is TRUE

3 0

1 year ago